Open AccessOn a Class of Function of Bounded Turning with Negative Coefficients Associated with a Generalized Multiplier Transformation
Author(s) -
Matthew Olanrewaju Oluwayemi,
Bolade O. Moses,
J. O. Hamza
Publication year - 2022
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2022.21.11
Subject(s) - multiplier (economics) , class (philosophy) , transformation (genetics) , bounded function , mathematics , function (biology) , pure mathematics , univalent function , range (aeronautics) , analytic function , algebra over a field , mathematical analysis , computer science , artificial intelligence , biochemistry , chemistry , materials science , macroeconomics , evolutionary biology , biology , economics , composite material , gene
The study of univalent functions and its applications is an hallmark of geometric function theory. Since univalent functions are analytic and has one-to-one mapping, it has a wide range of applications in the fields of studies where transformations (enlargements and reductions) are done. The functions also have angle and orientation preserving properties among other uses. Many authors have defined and studied various classes of univalent functions using different approaches and tools. In this study however, the authors used a generalized multiplier transformation to define a and investigate a new class of functions T_σ^n (λ). Various properties of the class of functions were investigated. The results extend some known results in literature.